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Finding the Fourth Proportional to 2,006.04, 3,008.58 and 545.28

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Solution

The fourth proportional to 2,006.04, 3,008.58 and 545.28 is: 817.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.04 : 3,008.58 = 545.28 : x
  2. Step 2: Convert to fraction form
    2,006.04/3,008.58 = 545.28/x
  3. Step 3: Cross multiply
    2,006.04x = 3,008.58 × 545.28
  4. Step 4: Simplify right side
    2,006.04x = 1,640,518.50
  5. Step 5: Solve for x
    x = 1,640,518.50/2,006.04
  6. Step 6: Final answer
    x = 817.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.